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11141243984 = 2413611316703
BaseRepresentation
bin10100110000001000…
…11110010001010000
31001202110012211120002
422120010132101100
5140304124301414
65041311305132
7543043003613
oct123004362120
931673184502
1011141243984
1147a7a3a562
1221ab21b1a8
13108727bc80
1477995a17a
1545318e4de
hex29811e450

11141243984 has 80 divisors (see below), whose sum is σ = 23811642624. Its totient is φ = 5018457600.

The previous prime is 11141243963. The next prime is 11141244007. The reversal of 11141243984 is 48934214111.

It is a super-2 number, since 2×111412439842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1658777 + ... + 1665479.

Almost surely, 211141243984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11141243984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11905821312).

11141243984 is an abundant number, since it is smaller than the sum of its proper divisors (12670398640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11141243984 is a wasteful number, since it uses less digits than its factorization.

11141243984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6916 (or 6910 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The spelling of 11141243984 in words is "eleven billion, one hundred forty-one million, two hundred forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 131 208 244 262 488 524 793 976 1048 1586 1703 2096 3172 3406 6344 6703 6812 7991 12688 13406 13624 15982 26812 27248 31964 53624 63928 87139 103883 107248 127856 174278 207766 348556 408883 415532 697112 817766 831064 878093 1394224 1635532 1662128 1756186 3271064 3512372 5315479 6542128 7024744 10630958 11415209 14049488 21261916 22830418 42523832 45660836 53563673 85047664 91321672 107127346 182643344 214254692 428509384 696327749 857018768 1392655498 2785310996 5570621992 11141243984